{"id":65739,"date":"2026-10-14T10:29:03","date_gmt":"2026-10-14T04:59:03","guid":{"rendered":"https:\/\/www.quickonlinetips.com\/archives\/?page_id=65739"},"modified":"2026-10-14T14:31:29","modified_gmt":"2026-10-14T09:01:29","slug":"average-calculator","status":"publish","type":"page","link":"https:\/\/www.quickonlinetips.com\/archives\/tools\/average-calculator\/","title":{"rendered":"Average Calculator: Mean, Median, Mode and Range"},"content":{"rendered":"<p>Paste or type a list of numbers into this <strong>average calculator<\/strong> to get the mean (average) at once, along with the median, mode, range, sum, count, smallest and largest value and standard deviation. 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.qt-sel{background:#BEE3F8;border-color:#3182CE} .qt-tool .qt-bad{background:#FED7D7;border-color:#E53E3E} .qt-tool select{-webkit-appearance:none;-moz-appearance:none;appearance:none;padding-right:40px;cursor:pointer;border:2px solid #90B4DA;font-weight:600;background-color:#fff;background-image:url(\"data:image\/svg+xml,%3Csvg xmlns='http:\/\/www.w3.org\/2000\/svg' viewBox='0 0 14 9'%3E%3Cpath d='M1.5 1.5l5.5 5.5 5.5-5.5' fill='none' stroke='%232B6CB0' stroke-width='2.4' stroke-linecap='round' stroke-linejoin='round'\/%3E%3C\/svg%3E\");background-repeat:no-repeat;background-position:right 14px center;background-size:14px 9px} .qt-tool select:hover{border-color:var(--qt-accent);background-color:#F4F8FD} .qt-tool select::-ms-expand{display:none} .qt-next{margin:0 0 1.75em} .qt-next .qt-next-h{font-size:14px;font-weight:700;letter-spacing:.05em;text-transform:uppercase;color:#4A5568;margin:0 0 8px} .qt-next-g{display:grid;grid-template-columns:repeat(3,1fr);gap:8px} .qt-next-g a{display:flex;align-items:center;min-height:46px;padding:9px 12px;border:1px solid #AEC3DB;border-radius:8px;background:#F4F8FD;color:#215387;font-weight:600;font-size:15px;line-height:1.3;text-decoration:none} .qt-next-g a:hover,.qt-next-g a:focus{background:#E3EEFF;border-color:#2B6CB0;text-decoration:none} @media (max-width:600px){.qt-next-g{grid-template-columns:repeat(2,1fr)}}<\/style>\n<div class=\"qt-tool\" id=\"qt-av\"><label class=\"qt-label\" for=\"qt-av-in\">Numbers<\/label><textarea id=\"qt-av-in\" rows=\"4\" style=\"min-height:100px\" spellcheck=\"false\">72, 85, 90, 66, 85, 78, 94<\/textarea><\/p>\n<div class=\"qt-result\" id=\"qt-av-mean\" aria-live=\"polite\">&#8211;<\/div>\n<div class=\"qt-explain\">Mean (average)<\/div>\n<div class=\"qt-stats\">\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-median\">&#8211;<\/span><span class=\"qt-lab\">Median<\/span><\/div>\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-mode\">&#8211;<\/span><span class=\"qt-lab\">Mode<\/span><\/div>\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-range\">&#8211;<\/span><span class=\"qt-lab\">Range<\/span><\/div>\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-sum\">&#8211;<\/span><span class=\"qt-lab\">Sum<\/span><\/div>\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-count\">&#8211;<\/span><span class=\"qt-lab\">Count<\/span><\/div>\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-min\">&#8211;<\/span><span class=\"qt-lab\">Smallest<\/span><\/div>\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-max\">&#8211;<\/span><span class=\"qt-lab\">Largest<\/span><\/div>\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-sd\">&#8211;<\/span><span class=\"qt-lab\">Std. deviation (sample)<\/span><\/div>\n<div class=\"qt-stat\"><span class=\"qt-num\" id=\"qt-av-psd\">&#8211;<\/span><span class=\"qt-lab\">Std. deviation (population)<\/span><\/div>\n<\/div>\n<div class=\"qt-status\" id=\"qt-av-status\" aria-live=\"polite\"><\/div>\n<p class=\"qt-note\">Everything runs in your browser. Nothing you enter is sent to or stored on our server.<\/p>\n<\/div>\n<p><script>(function () { function qtReady(fn) { if (document.readyState === 'loading') { document.addEventListener('DOMContentLoaded', fn); } else { fn(); } } function qtCopy(text, statusEl, okMsg) { function done(ok) { if (statusEl) { statusEl.textContent = ok ? (okMsg || 'Copied to clipboard.') : 'Press Ctrl+C (or Cmd+C) to copy.'; } } function fallback() { var ta = document.createElement('textarea'); ta.value = text; ta.setAttribute('readonly', ''); ta.style.position = 'fixed'; ta.style.top = '-1000px'; document.body.appendChild(ta); ta.select(); var ok = false; try { ok = document.execCommand('copy'); } catch (e) { ok = false; } document.body.removeChild(ta); done(ok); } if (navigator.clipboard) { if (window.isSecureContext) { navigator.clipboard.writeText(text).then(function () { done(true); }, fallback); return; } } fallback(); } function qtRand32() { var c = window.crypto || window.msCrypto; if (c) { if (c.getRandomValues) { var a = new Uint32Array(1); c.getRandomValues(a); return a[0]; } } return Math.floor(Math.random() * 4294967296); } function qtRandInt(range) { if (range === 4294967296) { return qtRand32(); } var limit = Math.floor(4294967296 \/ range) * range; var x = qtRand32(); while (x >= limit) { x = qtRand32(); } return x % range; } qtReady(function () { var inp = document.getElementById('qt-av-in'); if (!inp) { return; } function $(id) { return document.getElementById(id); } function f(x) { return isFinite(x) ? x.toLocaleString(undefined, { maximumFractionDigits: 4 }) : '-'; } function calc() { var nums = (inp.value.match(\/-?(?:\\d{1,3}(?:,\\d{3})+|\\d+)(?:\\.\\d+)?|-?\\.\\d+\/g) || []).map(function (s) { return parseFloat(s.replace(\/,\/g, '')); }).filter(function (x) { return isFinite(x); }); var st = $('qt-av-status'); if (!nums.length) { $('qt-av-mean').textContent = '-'; st.textContent = 'Enter some numbers.'; return; } var n = nums.length, sum = nums.reduce(function (a, b) { return a + b; }, 0), mean = sum \/ n; var s = nums.slice().sort(function (a, b) { return a - b; }); var med = n % 2 ? s[(n - 1) \/ 2] : (s[n \/ 2 - 1] + s[n \/ 2]) \/ 2; var cnt = {}, best = 0; nums.forEach(function (x) { cnt[x] = (cnt[x] || 0) + 1; if (cnt[x] > best) { best = cnt[x]; } }); var modes = Object.keys(cnt).filter(function (k) { return cnt[k] === best; }).map(Number).sort(function (a, b) { return a - b; }); var ss = nums.reduce(function (a, x) { return a + (x - mean) * (x - mean); }, 0); $('qt-av-mean').textContent = f(mean); $('qt-av-median').textContent = f(med); $('qt-av-mode').textContent = best === 1 ? 'None' : modes.slice(0, 5).map(f).join(', ') + (modes.length > 5 ? '...' : ''); $('qt-av-range').textContent = f(s[n - 1] - s[0]); $('qt-av-sum').textContent = f(sum); $('qt-av-count').textContent = n; $('qt-av-min').textContent = f(s[0]); $('qt-av-max').textContent = f(s[n - 1]); $('qt-av-sd').textContent = n > 1 ? f(Math.sqrt(ss \/ (n - 1))) : '-'; $('qt-av-psd').textContent = f(Math.sqrt(ss \/ n)); st.textContent = 'Sorted: ' + s.slice(0, 40).map(f).join(', ') + (n > 40 ? ' ...' : ''); } inp.addEventListener('input', calc); calc(); }); })();<\/script><\/p>\n<div class=\"qt-next\">\n<p class=\"qt-next-h\">Try another free tool<\/p>\n<div class=\"qt-next-g\"><a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/days-between-dates\/\">Days Between Dates<\/a><a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/age-calculator\/\">Age Calculator<\/a><a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/percentage-calculator\/\">Percentage Calculator<\/a><a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/online-stopwatch\/\">Stopwatch and Timer<\/a><a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/fraction-calculator\/\">Fraction Calculator<\/a><a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/gpa-calculator\/\">GPA Calculator<\/a><\/div>\n<\/div>\n<p><strong>Quick answer:<\/strong> To calculate an average, add all the numbers and divide by how many there are. For 72, 85, 90, 66, 85, 78 and 94, the sum is 570 and there are 7 numbers, so the average is 570 \u00f7 7 = 81.43.<\/p>\n<h2>How to use the average calculator<\/h2>\n<p>Type or paste numbers into the box. Commas, spaces, semicolons, tabs and new lines all work as separators, and the results update as you type. Thousands separators such as 1,250 are understood, so separate a list of three-digit numbers with spaces or commas plus a space. Negative numbers and decimals work too.<\/p>\n<h2>Mean, median and mode explained<\/h2>\n<table class=\"qt-ref\">\n<thead>\n<tr>\n<th>Measure<\/th>\n<th>What it is<\/th>\n<th>Example (2, 3, 3, 8, 14)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Mean<\/td>\n<td>The sum divided by the count; what most people call the average.<\/td>\n<td>30 \u00f7 5 = 6<\/td>\n<\/tr>\n<tr>\n<td>Median<\/td>\n<td>The middle value when sorted; for an even count, the average of the two middle values.<\/td>\n<td>3<\/td>\n<\/tr>\n<tr>\n<td>Mode<\/td>\n<td>The value that appears most often. There can be several, or none.<\/td>\n<td>3<\/td>\n<\/tr>\n<tr>\n<td>Range<\/td>\n<td>Largest minus smallest; a quick sense of spread.<\/td>\n<td>14 \u2212 2 = 12<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Mean or median: which should you use?<\/h2>\n<p>The mean uses every value, so one very large or small number pulls it a long way. The median ignores extremes. That is why house prices and incomes are usually reported as medians: a few mansions would make the mean price misleading. For test scores, temperatures and other evenly spread data, the mean works well. When the mean and median are far apart, your data is skewed.<\/p>\n<h2>Standard deviation<\/h2>\n<p>Standard deviation measures how spread out the numbers are around the mean. A small value means most numbers are close to the average; a large one means they vary widely. Use the <strong>sample<\/strong> figure when your numbers are a sample from a bigger group (most cases), and <strong>population<\/strong> when you have every value in the group.<\/p>\n<h2>Weighted average<\/h2>\n<p>When some values count more than others, such as course grades with different credits, multiply each value by its weight, add the results and divide by the total weight. For grades, our <a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/gpa-calculator\/\">GPA calculator<\/a> does this for you.<\/p>\n<h2>Average in Excel and Google Sheets<\/h2>\n<ul>\n<li><code>=AVERAGE(A1:A20)<\/code> for the mean, <code>=MEDIAN(A1:A20)<\/code>, <code>=MODE.SNGL(A1:A20)<\/code><\/li>\n<li><code>=STDEV.S(A1:A20)<\/code> for sample standard deviation, <code>=STDEV.P<\/code> for population<\/li>\n<\/ul>\n<p>Working with percentages? Use the <a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/percentage-calculator\/\">percentage calculator<\/a>.<\/p>\n<h2>FAQ<\/h2>\n<h3>How do I find the average of percentages?<\/h3>\n<p>Average them like any numbers only if each percentage is out of the same total. Otherwise, add the raw scores and totals and divide.<\/p>\n<h3>What if there is no mode?<\/h3>\n<p>If every value appears once, there is no mode, and the calculator shows None.<\/p>\n<h2>More free tools<\/h2>\n<div class=\"qt-cards\"><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/days-between-dates\/\"><strong>Days Between Dates<\/strong><span>Count days, weeks and business days between two dates.<\/span><\/a><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/age-calculator\/\"><strong>Age Calculator<\/strong><span>Your exact age in years, months and days, plus next birthday.<\/span><\/a><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/percentage-calculator\/\"><strong>Percentage Calculator<\/strong><span>Work out X% of Y, percent change and more.<\/span><\/a><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/online-stopwatch\/\"><strong>Stopwatch and Timer<\/strong><span>Online stopwatch with laps and a countdown timer with alarm.<\/span><\/a><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/fraction-calculator\/\"><strong>Fraction Calculator<\/strong><span>Add, subtract, multiply and divide fractions with steps.<\/span><\/a><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/gpa-calculator\/\"><strong>GPA Calculator<\/strong><span>Semester and cumulative GPA on the 4.0 scale.<\/span><\/a><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/tip-calculator\/\"><strong>Tip Calculator<\/strong><span>Work out the tip and split the bill between people.<\/span><\/a><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/hours-calculator\/\"><strong>Hours Calculator<\/strong><span>Hours and minutes between two times, plus a time card.<\/span><\/a><a class=\"qt-card\" href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/bmi-calculator\/\"><strong>BMI Calculator<\/strong><span>Body mass index from height and weight, metric or US.<\/span><\/a><\/div>\n<p>See all of them on the <a href=\"https:\/\/www.quickonlinetips.com\/archives\/tools\/\">QuickOnlineTips free online tools<\/a> page and play our <a href=\"https:\/\/www.quickonlinetips.com\/archives\/games\/\">free online games<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Paste or type a list of numbers into this average calculator to get the mean (average) at once, along with the median, mode, range, sum, count, smallest and largest value and standard deviation. Separate the numbers with commas, spaces or new lines, or paste a column straight from a spreadsheet. Numbers72, 85, 90, 66, 85,&#8230;<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":65595,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"class_list":["post-65739","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/pages\/65739","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/comments?post=65739"}],"version-history":[{"count":3,"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/pages\/65739\/revisions"}],"predecessor-version":[{"id":66477,"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/pages\/65739\/revisions\/66477"}],"up":[{"embeddable":true,"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/pages\/65595"}],"wp:attachment":[{"href":"https:\/\/www.quickonlinetips.com\/archives\/wp-json\/wp\/v2\/media?parent=65739"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}